A Semi-Analytical Method for the Solution of Helmholtz Equation

M. Tadi

Department of Mechanical Engineering, University of Colorado at Denver, Denver, USA.

DOI: 10.4236/jamp.2013.15008                

Abstract

This note is concerned with a semi-analytical method for the solution of 2-D Helmholtz equation in unit square. The method uses orthogonal functions to project the problem down to finite dimensional space. After the projection, the problem simplifies to that of obtaining solutions for second order constant coefficient differential equations which can be done analytically. Numerical results indicate that the method is particularly useful for very high wave numbers.

Keywords

Helmholtz Equation; Elliptic Systems; High Wavenumber

Conflicts of Interest

The authors declare no conflicts of interest.

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